The number of polynomials of the form \( x^{3}+a x^{2}+b x+c \) which are divisible by \( x^{2}+...

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The number of polynomials of the form \( x^{3}+a x^{2}+b x+c \) which are divisible by \( x^{2}+1 \) where \( a, b, c \in\{1,2,3, \ldots \). , \( 10\} \) is \( 10 K \), then \( K \) is
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